{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1. Introduction\n",
    "\n",
    "Today time series forecasting is ubiquitous, and decision-making processes in companies depend heavily on their ability to predict the future. Through a short series of articles I will present you with a possible approach to this kind of problems, combining state-space models with Bayesian statistics.\n",
    "\n",
    "In the initial articles, I will take some of the examples from the book *An Introduction to State Space Time Series Analysis* from Jacques J.F. Commandeur and Siem Jan Koopman [1]. It comprises a well-known introduction to the subject of state space modeling applied to the time series domain.\n",
    "\n",
    "My contributions will be:\n",
    "\n",
    "* A very humble attempt to close the gap between these two fields in terms of introductory and intermediate materials.\n",
    "* The presentation of concepts: on the one hand, a concise (not non-existent) mathematical basis to support our theoretical understanding and, on the other hand, an implementation from scratch of the algorithms (whenever possible, avoiding “black box” libraries). In my opinion, it is the best way to make sure that we can grasp an idea.\n",
    "* The proper implementation of the proposed models using PyMC3 as well as their interpretation and discussion.\n",
    "\n",
    "This post belongs to a series, feel free to check the previous post to acquire some more context:\n",
    "1. [The First Step in Bayesian Time Series— Linear Regression](https://towardsdatascience.com/the-first-step-in-bayesian-time-series-linear-regression-89a64b826a7e)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2.  Our first state space model\n",
    "\n",
    "As promised, we will be defining our first state space model in this article, the *deterministic level model*. It is the simplest one that we could possibly design. So simple that we can't solve any real problem with it. But, it is a *state space model*, nevertheless. It belongs to the *local level models* bucket of the *state space models*. As the name indicates, in this model there is one component of the state that we will focusing on: the *level*. In our current context the *level* is equivalent to what an intercept is for a linear regression. This is why we call it *deterministic*, it means that the level is static - i.e. applied globally to all time points."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It can be defined as\n",
    "\n",
    "$$Y_t = \\mu_1 + \\epsilon_t, \\quad \\epsilon_t \\sim NID(0, \\sigma_\\epsilon^2)$$\n",
    "\n",
    "for $t = 1,...,n$. We can see that everything is dependent on the level value when $t=1$, keeping it constant for all $t$. The observation disturbance is denoted by $\\epsilon_t$ (or sometimes referred as irregular component) at time $t$.\n",
    "\n",
    "Let's code it in two ways, using the standard approach and then using a bayesian approach.\n",
    "\n",
    "## 2.1. Classical implementation\n",
    "\n",
    "Can we implement this by hand? We should get an intuition first on what are we exactly doing. This is a great opportunity because our problem is quite simple.\n",
    "\n",
    "We need to do a quick (probably not the quickest) detour to get this one.\n",
    "\n",
    "### 2.1.1. Maximum likelihood estimation\n",
    "\n",
    "This is a very important concept, mathematically can become complex but it is quite intuitive to grasp. The *maximum likelihood estimation (MLE)* is a method that allows us to estimate the parameters of the probability distribution that generated a specific sample of data (for us, it is our time series). Probably you should read again the last sentence.\n",
    "\n",
    "We are going to work on a specific case, the one that we are interested in, the MLE for a *Gaussian* (or Normal) distribution.\n",
    "\n",
    "A Gaussian is a *continuous probability distribution*, the very well known bell shaped distribution. We use probability density functions (usually written as pdf) to define it. The distribution is completely described with two parameters, the mean ($\\mu$) and the variance ($\\sigma^2$). We can write it as,\n",
    "\n",
    "$$ \n",
    "f(X; \\mu, \\sigma) = \\frac{1}{\\sigma\\sqrt{2\\pi}} \\exp\\big [{-\\frac{(x-\\mu)^2}{2\\sigma^2} }\\big ]\n",
    "$$\n",
    "\n",
    "The parameters are defined after the semicolon.\n",
    "\n",
    "Let's plot it with different combinations of the parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy import stats\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "import pymc3 as pm\n",
    "import arviz as az\n",
    "import warnings\n",
    "import statsmodels.api as sm\n",
    "import statsmodels.formula.api as smf\n",
    "from statsmodels.graphics.tsaplots import acf, plot_acf\n",
    "az.style.use('arviz-darkgrid')\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "ukdrivers = np.genfromtxt('./data/UKdriversKSI.txt', skip_header=True)\n",
    "y = np.log(ukdrivers)\n",
    "t = np.arange(1,len(y)+1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 900x700 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mu_params = [-1,0,1]\n",
    "sd_params = [0.5, 1, 1.5]\n",
    "\n",
    "x = np.linspace(-7,7,200)\n",
    "\n",
    "_,ax = plt.subplots(len(mu_params), len(sd_params), sharex=True,\n",
    "                   sharey=True, figsize=(9,7), constrained_layout=True)\n",
    "\n",
    "for i in range(3):\n",
    "    for j in range(3):\n",
    "        mu=mu_params[i]\n",
    "        sd=sd_params[j]\n",
    "        y = stats.norm(mu, sd).pdf(x)\n",
    "        ax[i, j].plot(x,y)\n",
    "        ax[i,j].plot([], label=\"mu = {:3.2f}\\n sig = {:3.2f}\".format(mu, sd), alpha=0)\n",
    "        ax[i,j].legend(loc=1)\n",
    "        ax[2,1].set_xlabel('x')\n",
    "        ax[1,0].set_ylabel('p(x)', rotation=0, labelpad=20)\n",
    "        ax[1,0].set_yticks([])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that we saw the different bell curves that we can create with just two parameters, we have an increadible flexible power at hand to model real processes. We are just lacking the ability to estimate what the best two parameters that generated a specific sample of data are. We need some math to do it.\n",
    "\n",
    "To avoid confusion let's work on the notation first. This is a frequentist method by nature. You will often find a semicolon instead of a vertical bar | to denote that we are conditioning on the parameters. In the classical perspective, our $\\mu$ and $\\sigma$ are unknown parameters and not random variables. If we were using our bayesian hats (which we are), we would use the vertical bar, because our parameters become true random variables. This gives us consistency and also makes it simpler to understand.\n",
    "\n",
    "More on notation. We will often use $\\theta$ to define a set of parameters. It could represent $\\mu$ and $\\sigma$ when defining a gaussian distribution. \n",
    "\n",
    "Having that in mind, we need to be precise on differentiating $P(Y|\\theta)$ from $P(\\theta|Y)$. The first is the likelihood and the later is the posterior and they can be very different. We saw this in Bayes theorem but we need to sharp our eyes to spot the differences.\n",
    "\n",
    "Let's read $P(Y|\\theta)$: it is the probability of our time series Y (our data) given that our parameters are equal to $\\theta$.\n",
    "\n",
    "Having the notation defined, we are going to focus on... the name. The MLE is the *maximum* likelihood estimation, so we to maximize something. In fact, the MLE for $\\theta$ is the value of $\\theta$ that maximizes the likelihood $P(Y|\\theta)$. \n",
    "\n",
    "Now, we need to assume two things: that our observations are *identical and independently distributed*. The identical part is quite self-explanatory, as we want to describe them with just one distribution. The independence part is which allow us to use an important property: their joint pdf is the product of the individual pdf's. Nevertheless, this is obviously not the case for our problem. Our points clearly depend on one another. Nevertheless, things get quite messy if we don't use this assumption, so bear with me for now. We are just building intuition on what is happening.\n",
    "\n",
    "We are ready to define it\n",
    "\n",
    "$$\\begin{aligned}\n",
    "L = f(Y|\\theta) &= f(y_1|\\theta) f(y_2|\\theta),..., f(y_n|\\theta) \\\\\n",
    "&= \\prod^n_{j=1}f(Y| \\mu,\\sigma^2) \\\\\n",
    "&= (2\\pi\\sigma^2)^{-n/2} \\exp{\\big(-\\frac{1}{2\\sigma^2} \\sum^n_{j=1}(y_i-\\mu)^2\\big)}\n",
    "\\end{aligned}$$\n",
    "\n",
    "We now get to a new problem, multiplying many small probabilities together can be numerically unstable. To overcome this, we can use the log of the same function. The natural logarithm is a monotonically increasing function, which means that if the value on the x-axis increases, the value on the y-axis also increases. This is important because it ensures that the maximum value of the log of the probability occurs at the same point as the original probability function. It does another very conveniently thing for us, it transforms our products into sums.\n",
    "\n",
    "Let's perform the transformation\n",
    "\n",
    "$$\\begin{aligned}\n",
    "\\log(L(Y|\\theta)) &= \\log\\big((2\\pi\\sigma^2)^{-n/2} \\exp{\\big(-\\frac{1}{2\\sigma^2} \\sum^n_{j=1}(y_i-\\mu)^2\\big)\\big)} \\\\\n",
    "&= -\\frac{n}{2}\\log(2\\pi)-\\frac{n}{2}\\log(\\sigma^2)-\\frac{1}{2\\sigma^2}\\sum_{j=1}^{n}(y_i-\\mu)^2\n",
    "\\end{aligned}$$\n",
    "\n",
    "Almost there! We will now work our optimization problem at hand. We can put it as simple as\n",
    "\n",
    "$$\\max_{\\mu,\\sigma^2}\\log(L(Y|\\theta))$$\n",
    "\n",
    "The expression derived above can be differentiated to find the maximum. Expanding our parameters we have $\\log(L(Y|\\mu, \\sigma))$. As it is a function of the two variables $\\mu$ and $\\sigma$ we use partial derivatives to find the MLE. \n",
    "\n",
    "Starting with $\\hat \\mu$ (the hat indicates that it is an estimator, i.e. our output), we compute it from\n",
    "\n",
    "$$\\begin{aligned}\n",
    "& \\quad \\frac{\\partial}{\\partial \\mu} \\log(L(Y|\\mu, \\sigma)) \\\\\n",
    "&= \\frac{\\partial}{\\partial \\mu} \\big(-\\frac{n}{2}\\log(2\\pi)-\\frac{n}{2}\\log(\\sigma^2)-\\frac{1}{2\\sigma^2}\\sum_{j=1}^{n}(y_i-\\mu)^2\\big)\n",
    "\\\\\n",
    "&= \\sum^n_{j=1} \\frac{(y_i - \\mu)}{\\sigma^2}\n",
    "\\end{aligned}$$\n",
    "\n",
    "Setting the expression above equal to zero we get\n",
    "\n",
    "\n",
    "$$\\sum^n_{j=1} \\frac{(y_i - \\mu)}{\\sigma^2} = 0 $$\n",
    "\n",
    "Then\n",
    "$$\\begin{aligned}\n",
    "\\hat\\mu &= \\frac{\\sum^n_{j=1}y_i}{n} \\\\\n",
    "\\hat\\mu &= \\bar y\n",
    "\\end{aligned}$$\n",
    "\n",
    "Surprisingly or not (hope it wasn't) this is the mean of the data! We do exactly the same thing for $\\sigma$. I'm going to cut some steps.\n",
    "\n",
    "$$\\frac{\\partial}{\\partial \\sigma} \\log(L(Y|\\mu, \\sigma)) = 0 $$\n",
    "\n",
    "Which results in \n",
    "\n",
    "$$\\hat \\sigma^2 = \\frac{\\sum^n_{j=1}(y_i - \\hat \\mu)^2}{n}$$\n",
    "\n",
    "\n",
    "\n",
    "And finally, by using the value of $\\hat \\mu$, we get\n",
    "\n",
    "\n",
    "$$\\hat \\sigma^2 = \\frac{\\sum^n_{j=1}(y_i - \\bar y)^2}{n}$$\n",
    "\n",
    "Strangely of not this is the variance of the data. So much work to get the mean and variance of the data! They are the best estimators for our data... obviously! But now you got the feeling on why mathematically this is. \n",
    "\n",
    "Just one more ah ah moment. We already saw in the last post the least-squares method to estimate our parameters of a linear regression. It turns out that when the model is assumed to be Gaussian as in the examples above, the MLE estimates are equivalent to the least-squares method.\n",
    "\n",
    "Not getting into the math we can grasp the idea. In the case of the least squares parameter estimation we want to find the line that minimises the total squared distance between the data points and the regression line. On the other hand, in the maximum likelihood estimation we want to maximise the total probability of the data. When a Gaussian distribution is assumed, the maximum probability is found when the data points get closer to the mean value. Since the Gaussian distribution is symmetric, this is equivalent to minimising the distance between the data points and the mean value.\n",
    "\n",
    "### 2.1.2. Maximum a Posteriori and Bayes Theorem\n",
    "\n",
    "We discussed the Bayes Theorem in the last post, now it is time to connect it to a new concept. *The Maximum a Posteriori* (MAP) is the bayesian equivalent to the MLE. \n",
    "\n",
    "Just to remind ourselves, we have the Bayes Theorem bellow.\n",
    "\n",
    "$$P(A \\mid B) = \\frac{P(B \\mid A)\\, P(A)}{P(B)}$$\n",
    "\n",
    "\n",
    "In the equation above $B$ is the *evidence*, $p(A)$ is the *prior*, $p(B \\mid A)$ is the *likelihood*, and $p(A \\mid B)$ is the *posterior*. $P(A \\mid B)$ is the probability of $A$ happening *if* $B$ happened. One side note, the equation works not only for probabilities but also with probability distributions (more important to us). \n",
    "\n",
    "In reality for now let's forget about probabilities and distributions as we are just focused on optimizing a quantity.\n",
    "\n",
    "$$P(A \\mid B) \\propto P(B \\mid A)\\, P(A)$$\n",
    "\n",
    "This means that $P(A \\mid B)$ is proportional to $P(B \\mid A)\\, P(A)$, i.e. $P(B)$ is a normalizing constant and we don't need to normalize our result. In fact this is hardest component to compute in Bayes equation and we will see more about it in the future.\n",
    "\n",
    "Let's adapt the equation to our problem.\n",
    "\n",
    "$$p(\\theta \\mid Y) = \\frac{p(Y \\mid \\theta) p(\\theta)}{p(Y)} \\propto P(Y \\mid \\theta)\\, P(\\theta)$$\n",
    "\n",
    "Quite similar to what we saw earlier working our the MLE example. We have one additional element: $P(\\theta)$. This is our prior knowledge about our parameters and one fundamental idea behind Bayesian statistics. In the MLE case, we were implicitly assuming that all values of our parameters $\\mu$ and $\\sigma$ were equally likely, i.e. we didn't have any information to start with. This is the real difference between MLE and MAP. MLE assumes that all solutions are equally likely beforehand. MAP, on the other hand, allows us to accomodate prior information on our calculations. If we define the MAP with a flat prior, then we are basically doing MLE."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.2. Raw implementation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It wasn't a very quick detour but we got somewhere. Let's see where we are right now. We know that state space models maximize a log-likelihood function and we saw how it is defined as well as two different procedures to do this maximization. Using the MLE we get two estimators, $\\hat \\mu$ and $\\hat \\sigma$. Let's calculate these estimators for our problem."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "μ_hat = 7.4061\n",
      "σ_sq_hat = 0.0292\n"
     ]
    }
   ],
   "source": [
    "y = np.log(ukdrivers)\n",
    "μ_hat = y.mean()\n",
    "σ_sq_hat = np.var(y)\n",
    "\n",
    "print(f'μ_hat = {μ_hat:.4f}\\nσ_sq_hat = {σ_sq_hat:.4f}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Almost there. Just a small note on the $\\hat \\sigma$ value. Let's run the same model with a library that has everything set up for us. We will go through that code, but I need you to see something."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.02935\n"
     ]
    }
   ],
   "source": [
    "import statsmodels.api as sm\n",
    "model_ll = sm.tsa.UnobservedComponents(y, \n",
    "                                       level=True)\n",
    "model_fit = model_ll.fit()\n",
    "σ_sq_hat = model_fit.params[0]\n",
    "print(np.round(σ_sq_hat,5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are not getting the same result. This happens because NumPy uses by default one formula to compute the variance but in fact we should use another.\n",
    "\n",
    "The one that NumPy uses is \n",
    "\n",
    "$$\\frac{1}{n} \\sum^n_{t=1}{(y_t-\\bar y)^2}$$\n",
    "\n",
    "The one that we should use is\n",
    "\n",
    "$$\\frac{1}{n-1} \\sum^n_{t=1}{(y_t-\\bar y)^2}$$\n",
    "\n",
    "For small sample sizes our estimator is unlikely to perfectly represent the data. Using this normalization term is a way of reducing the bias on our estimator. Let's implement the latter."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.02935\n",
      "0.02935\n"
     ]
    }
   ],
   "source": [
    "print(np.round(np.sum((y-y.mean())**2)/(len(y)-1),5))\n",
    "# or\n",
    "print(np.round(np.var(y, ddof=1),5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We got to the same result.\n",
    "\n",
    "Now what? \n",
    "\n",
    "Well, believe it or not, we have our *deterministic level* equation.\n",
    "\n",
    "$$Y_t = 7.4061 + \\epsilon_t, \\quad \\epsilon_t \\sim NID(0, 0.02935)$$\n",
    "\n",
    "Exciting news! "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.3. `statsmodel` implementation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It makes sense to see how can we implement the deterministic level model with two lines of code using a library such as `statsmodels`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                          Unobserved Components Results                           \n",
      "==================================================================================\n",
      "Dep. Variable:                          y   No. Observations:                  192\n",
      "Model:             deterministic constant   Log Likelihood                  63.314\n",
      "Date:                    Wed, 25 Nov 2020   AIC                           -124.628\n",
      "Time:                            16:24:36   BIC                           -121.375\n",
      "Sample:                                 0   HQIC                          -123.310\n",
      "                                    - 192                                         \n",
      "Covariance Type:                      opg                                         \n",
      "====================================================================================\n",
      "                       coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------------\n",
      "sigma2.irregular     0.0294      0.003      8.987      0.000       0.023       0.036\n",
      "===================================================================================\n",
      "Ljung-Box (Q):                      637.74   Jarque-Bera (JB):                 0.73\n",
      "Prob(Q):                              0.00   Prob(JB):                         0.69\n",
      "Heteroskedasticity (H):               2.06   Skew:                             0.09\n",
      "Prob(H) (two-sided):                  0.00   Kurtosis:                         2.76\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n"
     ]
    }
   ],
   "source": [
    "model_ll = sm.tsa.UnobservedComponents(y, \n",
    "                                       level=True)\n",
    "model_fit = model_ll.fit()\n",
    "\n",
    "print(model_fit.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7.406107601964578"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model_fit.level['smoothed'][0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As simple as that we have our model fitting the data. We can see our two parameters sigma2.irregular ($\\epsilon_t$) and the level component $\\mu_1$. We also get a lot of statistical tests that we will learn about in the future."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3. The Bayesian way"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As I promised we will be always performing the same analysis using the bayesian perspective.\n",
    "\n",
    "In this estimation we will not be focusing so much in our Bayesian workflow and using all the good practices that we learned in the last post, but don't worry, we will get back to it in the future. The reason behind it is our intention of showing that the MLE and the MAP are indeed the same thing if we use flat priors. We will be using very vague priors (not actually flat, to help slightly our sampler)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [μ_1, σ_ϵ]\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "    <div>\n",
       "        <style>\n",
       "            /* Turns off some styling */\n",
       "            progress {\n",
       "                /* gets rid of default border in Firefox and Opera. */\n",
       "                border: none;\n",
       "                /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "                background-size: auto;\n",
       "            }\n",
       "            .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
       "                background: #F44336;\n",
       "            }\n",
       "        </style>\n",
       "      <progress value='20000' class='' max='20000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [20000/20000 00:04<00:00 Sampling 4 chains, 0 divergences]\n",
       "    </div>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 3_000 tune and 2_000 draw iterations (12_000 + 8_000 draws total) took 5 seconds.\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model_det:\n",
    "    σ_ϵ = pm.HalfCauchy('σ_ϵ', beta=1000)\n",
    "    \n",
    "    # We want the variance\n",
    "    σ_ϵ_sq = pm.Deterministic('σ_ϵ_sq', σ_ϵ**2)\n",
    "    \n",
    "    μ_1 = pm.Normal('μ_1', 0, 1000)\n",
    "    \n",
    "    # Likelihood\n",
    "    y_pred = pm.Normal('det', mu=μ_1, sigma=σ_ϵ, observed=y)\n",
    "    trace_det = pm.sample(2000, tune=3000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1200x400 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_trace(trace_det, var_names=['μ_1', 'σ_ϵ_sq']);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>hdi_3%</th>\n",
       "      <th>hdi_97%</th>\n",
       "      <th>mcse_mean</th>\n",
       "      <th>mcse_sd</th>\n",
       "      <th>ess_mean</th>\n",
       "      <th>ess_sd</th>\n",
       "      <th>ess_bulk</th>\n",
       "      <th>ess_tail</th>\n",
       "      <th>r_hat</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>μ_1</th>\n",
       "      <td>7.406</td>\n",
       "      <td>0.012</td>\n",
       "      <td>7.382</td>\n",
       "      <td>7.429</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7067.0</td>\n",
       "      <td>7066.0</td>\n",
       "      <td>7083.0</td>\n",
       "      <td>5472.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>σ_ϵ_sq</th>\n",
       "      <td>0.030</td>\n",
       "      <td>0.003</td>\n",
       "      <td>0.025</td>\n",
       "      <td>0.036</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7126.0</td>\n",
       "      <td>7028.0</td>\n",
       "      <td>7161.0</td>\n",
       "      <td>5693.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         mean     sd  hdi_3%  hdi_97%  mcse_mean  mcse_sd  ess_mean  ess_sd  \\\n",
       "μ_1     7.406  0.012   7.382    7.429        0.0      0.0    7067.0  7066.0   \n",
       "σ_ϵ_sq  0.030  0.003   0.025    0.036        0.0      0.0    7126.0  7028.0   \n",
       "\n",
       "        ess_bulk  ess_tail  r_hat  \n",
       "μ_1       7083.0    5472.0    1.0  \n",
       "σ_ϵ_sq    7161.0    5693.0    1.0  "
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "az.summary(trace_det, var_names=['μ_1', 'σ_ϵ_sq'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And here we have our parameters. As you can see, we have posterior distributions for our parameters $\\mu_1$ and $\\sigma_\\epsilon^2$, not only a point estimate. Let's compare our results with the statsmodel. For now focus only on the columns mean and sd from the table above. \n",
    "\n",
    "Just a quick note on the parameter $\\sigma_\\epsilon^2$. We've been estimating the variance of the $\\epsilon$ term, but when fitting our likelihood we are using the most usuall way to fit a Gaussian distribution, which is with the mean and the standard deviation. That is why I created a `Deterministic` variable (nothing to do with our deterministic model), which is the way to keep track of a transformed variable in `PyMC3`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 4. Discussion"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's follow the same approach that we did in the last post. But first, we need to compare our Bayesian estimation of the parameters with the frequentist approach. Remember that we can solely compare pointwise estimations, since only the Bayesian framework produce posterior distributions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "statsmodel:\n",
      " μ_1 = 7.4061\n",
      " σ_ϵ = 0.0294\n",
      "bayesian:\n",
      " μ_1 = 7.4060\n",
      " σ_ϵ = 0.0298\n"
     ]
    }
   ],
   "source": [
    "print(f'statsmodel:\\n μ_1 = {model_fit.level[\"smoothed\"][0]:.4f}' +\n",
    "     f'\\n σ_ϵ = {model_fit.params[0]:.4f}')\n",
    "print(f'bayesian:\\n μ_1 = {trace_det[\"μ_1\"].mean():.4f}' +\n",
    "     f'\\n σ_ϵ = {trace_det[\"σ_ϵ_sq\"].mean():.4f}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Both models yield very similar results. As we saw above this happens because we are using vague priors, which makes the MAP estimations approximate the MLE estimations.\n",
    "\n",
    "Now, it is time to plot our model fitting against the data and the residuals."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "μ_hat_ar = np.ones(len(y)) * μ_hat\n",
    "plt.plot(t, μ_hat_ar, label='deterministic level')\n",
    "plt.plot(t, y, label='data')\n",
    "plt.ylabel('log UK drivers KSI')\n",
    "plt.xlabel('Time (in months)', rotation=0)\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "residuals = y - (μ_hat)\n",
    "plt.plot(t, residuals)\n",
    "plt.plot(t, np.zeros(len(y)), c='k', alpha=0.2)\n",
    "plt.ylabel('Residuals')\n",
    "plt.xlabel('Time (in months)', rotation=0);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_acf(residuals);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Not so exciting! The deterministic level model is constant and thus it does not vary over time as a result. The residuals are clearly not randomly distributed for this case as they are just the result of the deviations of the observed values from their mean.\n",
    "\n",
    "The correlogram also shows the autocorrelations in the residuals, which we couldn't capture with a deterministic model.\n",
    "\n",
    "We are not there yet but we've covered an important ground already. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 5. Conclusions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We did an important work concerning our understanding of how the estimations of the parameters are performed in both perspectives: frequentist and Bayesian. Using that knowledge, we defined our first state space model from the ground up successfully. Unfortunately, we also saw that it was too simple to capture all the valuable information in our data. As we said in the previous article, there is an underlying dynamic evolution that cannot be observed and we were again unable to model it. \n",
    "\n",
    "We are building the momentum and gathering important tools along the way. I think we are ready to start adding some stochastic behaviour to our parameters. See you in the next post!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# References"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[1] J. Commandeur, S. Koopman, An Introduction to State Space Time Series Analysis (2007), Oxford University Press"
   ]
  }
 ],
 "metadata": {
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   "language": "python",
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   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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